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Alternative Methods in Spectral Factorization. A Modeling and Design Tool
Author(s) -
Overdijk D.A.,
van de Wouw N.,
de Kraker A.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200102)81:2<140::aid-zamm140>3.0.co;2-g
Subject(s) - factorization , transfer function , spectral theorem , computer science , fourier transform , algorithm , function (biology) , matrix decomposition , spectral analysis , mathematics , physics , engineering , mathematical analysis , quantum mechanics , evolutionary biology , spectroscopy , electrical engineering , biology , operator theory , eigenvalues and eigenvectors
Spectral factorization can be used to recover the complex transfer function of a linear, causal, stable, minimum‐phase system from merely its amplitude information. Two different approaches are presented, resulting in two consistent expressions for the complex transfer function. Firstly, an approach using Fourier theory is followed ( Papoulis, 1977; Priestley, 1981). Secondly, a new approach using potential theory results is presented. Spectral factorization can be successfully used as a modeling tool. Moreover, its capability to serve as a design tool is emphasized. These fields of application are illustrated by means of examples.